Illustrative Math - Algebra 1 - Unit 6 - Lesson 11

Select all true statements about the graph that represents y=2x(x-11).

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• {"blocks":[{"key":"0","text":"Its x-intercepts are at (0,0) and (11,0).","type":"unstyled","depth":0,"inlineStyleRanges":[{"offset":3,"length":2,"style":"ITALIC"},{"offset":3,"length":2,"style":"BOLD"}],"entityRanges":[],"data":{}}],"entityMap":{}}
• {"blocks":[{"key":"593ub","text":"Its x-intercepts are at (2,0) and (-11,0).","type":"unstyled","depth":0,"inlineStyleRanges":[{"offset":4,"length":1,"style":"ITALIC"},{"offset":4,"length":1,"style":"BOLD"}],"entityRanges":[],"data":{}}],"entityMap":{}}
• {"blocks":[{"key":"4rhep","text":"It has only one x-intercept.","type":"unstyled","depth":0,"inlineStyleRanges":[{"offset":16,"length":1,"style":"BOLD"},{"offset":16,"length":1,"style":"ITALIC"}],"entityRanges":[],"data":{}}],"entityMap":{}}
• {"blocks":[{"key":"4kuuk","text":"The x-coordinate of its vertex is -4.5.","type":"unstyled","depth":0,"inlineStyleRanges":[{"offset":4,"length":1,"style":"ITALIC"},{"offset":4,"length":1,"style":"BOLD"}],"entityRanges":[],"data":{}}],"entityMap":{}}

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F.IF.7.a

Select all equations whose graphs have a vertex with x-coordinate 2.

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• {"blocks":[{"key":"0","text":"y=(x-2)(x+2)","type":"unstyled","depth":0,"inlineStyleRanges":[],"entityRanges":[{"offset":0,"length":12,"key":0}],"data":{}}],"entityMap":{"0":{"type":"MATH","mutability":"MUTABLE","data":{}}}}
• {"blocks":[{"key":"0","text":"y=(x-1)(x-3)","type":"unstyled","depth":0,"inlineStyleRanges":[],"entityRanges":[{"offset":0,"length":12,"key":0}],"data":{}}],"entityMap":{"0":{"type":"MATH","mutability":"MUTABLE","data":{}}}}
• {"blocks":[{"key":"0","text":"y=x(x+4)","type":"unstyled","depth":0,"inlineStyleRanges":[],"entityRanges":[{"offset":0,"length":8,"key":0}],"data":{}}],"entityMap":{"0":{"type":"MATH","mutability":"MUTABLE","data":{}}}}
• {"blocks":[{"key":"a4cp1","text":"y=x(x-4)","type":"unstyled","depth":0,"inlineStyleRanges":[],"entityRanges":[{"offset":0,"length":8,"key":0}],"data":{}}],"entityMap":{"0":{"type":"MATH","mutability":"MUTABLE","data":{}}}}

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F.IF.7.a

Is (s+t)^{2} equivalent to s^{2}+2st+t^{2}? Explain or show your reasoning.

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F.IF.7.a

Tyler is shopping for a truck. He found two trucks that he likes. One truck sells for $7,200. A slightly older truck sells for 15% less. How much does the older truck cost?

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F.IF.7.a

Here are graphs of two exponential functions, f and g.The function f is given by f(x)=100*2^{x} while g is given by g(x)=a*b^{x}. Based on the graphs of the functions, what can you conclude about a and b?

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F.IF.7.a

Suppose G takes a student’s grade and gives a student’s name as the output. Explain why G is not a function.

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F.IF.7.a